Financial Management and Strategic Management · Financing Decisions - Capital Structure
Leverages: Operating, Financial and Combined (CA Intermediate FM)
Updated 4 October 2026 · Fact-checked
Leverage measures how a fixed cost magnifies a change in profit. Operating leverage (DOL = Contribution ÷ EBIT) magnifies sales into EBIT. Financial leverage (DFL = EBIT ÷ EBT) magnifies EBIT into EPS. Combined leverage (DCL = DOL × DFL = Contribution ÷ EBT) magnifies sales into EPS.
Understand Leverages: Operating, Financial and Combined
A fixed cost does not change when sales change. Because it stays put, a small rise in sales can cause a much larger rise in profit. The same effect works in reverse when sales fall. This magnifying effect is called leverage.
Operating leverage comes from fixed operating costs such as rent, salaries and depreciation. It links a change in sales to a change in EBIT (earnings before interest and tax). With no fixed operating cost, EBIT moves exactly in line with sales and DOL is 1.
Financial leverage comes from fixed financial charges: interest on debt and, for EPS, preference dividend. It links a change in EBIT to a change in EPS. With no interest or preference dividend, EPS moves in line with EBIT and DFL is 1.
Combined leverage is both effects together. A sales change passes through fixed operating cost first, then through fixed financial cost, and reaches EPS. So DCL = DOL × DFL.
Leverage is linked to risk. High operating leverage means high business risk, because EBIT swings widely with sales. High financial leverage means high financial risk, because the firm must pay fixed charges even when EBIT is weak. High combined leverage means high total risk. The same magnification that helps in good times hurts in bad times.
Key rules to remember
- Contribution
- Contribution = Sales − Variable cost
- EBIT = Contribution − Fixed operating cost.
- Degree of Operating Leverage (DOL)
- DOL = Contribution ÷ EBIT = % change in EBIT ÷ % change in sales
- Use fixed cost excluding interest. Valid at the given level of sales.
- Degree of Financial Leverage (DFL)
- DFL = EBIT ÷ EBT = % change in EPS ÷ % change in EBIT
- EBT = EBIT − Interest. DFL = EBIT ÷ EBT applies only when there is no preference dividend. When preference shares exist: DFL = EBIT ÷ [EBIT − Interest − PD ÷ (1 − t)], where PD is the preference dividend and t is the tax rate.
- Degree of Combined Leverage (DCL)
- DCL = DOL × DFL = Contribution ÷ EBT = % change in EPS ÷ % change in sales
- Fixed cost in DCL means operating fixed cost plus interest. With preference dividend, use the grossed-up DFL, so the denominator becomes EBT − PD ÷ (1 − t).
- EPS
- EPS = [(EBIT − Interest) × (1 − t) − Preference dividend] ÷ Number of equity shares
- Use this to find EPS before and after a change.
- Risk link
- Operating leverage → business risk; Financial leverage → financial risk
- Combined leverage reflects total risk.
How to solve Leverages: Operating, Financial and Combined questions
Use this order for any leverage numerical. It avoids mixing up fixed costs.
- 1List the data: sales, variable cost, fixed operating cost, interest, preference dividend, tax rate, number of shares.
- 2Compute Contribution = Sales − Variable cost.
- 3Compute EBIT = Contribution − Fixed operating cost.
- 4Compute EBT = EBIT − Interest. If asked for EPS, deduct tax and preference dividend, then divide by shares.
- 5Compute DOL = Contribution ÷ EBIT and DFL = EBIT ÷ EBT (use the grossed-up preference dividend in the denominator if preference shares exist).
- 6Compute DCL = DOL × DFL, and check it equals Contribution ÷ EBT (or the grossed-up denominator if preference shares exist).
- 7If a change in sales is given, apply: % change in EBIT = DOL × % change in sales; % change in EPS = DCL × % change in sales.
- 8Write one line of interpretation on risk.
Quickest way: Three-line leverage shortcut
When to use it: Use when the MCQ or written question gives sales, variable cost, fixed cost and interest, and asks for any degree.
- Write three numbers in a column: Contribution, EBIT, EBT.
- DOL = line 1 ÷ line 2. DFL = line 2 ÷ line 3. DCL = line 1 ÷ line 3.
- For an MCQ, check that DOL × DFL equals DCL. This catches most slips.
- For a percentage change, multiply the degree by the percentage change in the driver. Do not rebuild the profit statement.
- In written answers, show the three-line column, each formula and a one-line risk comment. Step marks come from the formula and the working.
Common mistakes in Leverages: Operating, Financial and Combined
Including interest in fixed cost when computing DOL.
Students treat all fixed costs alike.
Fix: DOL stops at EBIT. Only fixed operating cost is deducted. Interest comes in only for DFL and DCL.
Using Sales instead of Contribution in the numerator of DOL.
Mixing up leverage with the margin of safety or profit-volume ideas.
Fix: Write Contribution = Sales − Variable cost first, then divide by EBIT.
Ignoring preference dividend in DFL.
Preference dividend looks like a dividend, not a charge.
Fix: When the question gives preference shares, use DFL = EBIT ÷ [EBIT − Interest − PD ÷ (1 − t)], because preference dividend is paid out of after-tax profit and must be grossed up. Use EBIT ÷ EBT only when there is no preference dividend.
Adding DOL and DFL to get DCL.
Both are 'leverages', so addition seems natural.
Fix: DCL = DOL × DFL. Always multiply.
Mixing up business risk and financial risk.
Both words sound alike.
Fix: Operating leverage and fixed operating cost give business risk. Debt and fixed financial charges give financial risk.
Applying the degree to a large change in a different cost structure.
Students forget that a degree holds only at one sales level.
Fix: Use the degree for the given base level. If a question changes fixed cost or debt, recompute.
Worked examples
Example 1
A firm has sales of ₹10,00,000, variable cost of ₹6,00,000, fixed operating cost of ₹2,00,000 and interest of ₹50,000. Calculate DOL, DFL and DCL. If sales rise by 10%, find the percentage rise in EBIT and in EBT.
Show the solution
- Contribution = 10,00,000 − 6,00,000 = ₹4,00,000.
- EBIT = 4,00,000 − 2,00,000 = ₹2,00,000.
- EBT = 2,00,000 − 50,000 = ₹1,50,000.
- DOL = 4,00,000 ÷ 2,00,000 = 2.
- DFL = 2,00,000 ÷ 1,50,000 = 1.33 (4/3).
- DCL = 2 × 4/3 = 2.67 (8/3). Check: 4,00,000 ÷ 1,50,000 = 2.67.
- EBIT rise = 2 × 10% = 20%.
- EBT (and EPS, with no preference shares and constant tax) rise = 2.67 × 10% = 26.67%.
Answer: DOL = 2, DFL = 1.33, DCL = 2.67. A 10% rise in sales raises EBIT by 20% and EBT/EPS by about 26.67%.
Example 2
A company has 10,000 equity shares and 10% debt of ₹5,00,000. Sales are ₹8,00,000, variable cost is 50% of sales and fixed operating cost is ₹1,50,000. Tax rate is 25%. Calculate EPS, DOL, DFL and DCL. Find the new EPS if sales fall by 10%.
Show the solution
- Variable cost = 50% × 8,00,000 = ₹4,00,000. Contribution = ₹4,00,000.
- EBIT = 4,00,000 − 1,50,000 = ₹2,50,000.
- Interest = 10% × 5,00,000 = ₹50,000. EBT = 2,50,000 − 50,000 = ₹2,00,000.
- Tax = 25% × 2,00,000 = ₹50,000. PAT = ₹1,50,000. EPS = 1,50,000 ÷ 10,000 = ₹15.
- DOL = 4,00,000 ÷ 2,50,000 = 1.6.
- DFL = 2,50,000 ÷ 2,00,000 = 1.25.
- DCL = 1.6 × 1.25 = 2. Check: 4,00,000 ÷ 2,00,000 = 2.
- Fall in EPS = 2 × 10% = 20%. New EPS = 15 × 0.80 = ₹12.
- Verify: Sales 7,20,000; contribution 3,60,000; EBIT 2,10,000; EBT 1,60,000; PAT 1,20,000; EPS ₹12.
Answer: EPS = ₹15, DOL = 1.6, DFL = 1.25, DCL = 2. With a 10% fall in sales, EPS falls 20% to ₹12.
Exam tips
- Always show Contribution, EBIT and EBT first. Every degree is a ratio of these three lines.
- Check DCL both ways: DOL × DFL and Contribution ÷ EBT. If they differ, find the slip before moving on.
- In MCQs, remember that a degree of 1 means no fixed cost of that type. Use this to eliminate options.
- Add a short interpretation: higher DOL means higher business risk, higher DFL means higher financial risk. Examiners often ask for it.
- Read the question for preference dividend and tax. These change DFL and EPS, and they are easy to miss.
Practice questions from Financing Decisions - Capital Structure
- Which of the following best describes the 'pecking order' approach to financing?
- According to the Modigliani-Miller (MM) proposition without taxes, which of the following statements about a firm's value is correct?
- According to the Modigliani-Miller (MM) hypothesis without taxes, the market value of a firm is determined by:
- Meghna Pharma Ltd has an equity share capital of ₹40,00,000 and 10% debentures of ₹60,00,000. Its cost of equity is 15% and the tax rate is …
- Rohini Exports Ltd has EBIT of ₹6,00,000 and 10% debentures of ₹12,00,000. The equity capitalisation rate is 15% and, as per the Net Income …
Leverages: Operating, Financial and Combined: frequently asked questions
What is the difference between operating leverage and financial leverage?
Operating leverage arises from fixed operating costs and links sales to EBIT. Financial leverage arises from fixed financial charges such as interest and links EBIT to EPS. The first drives business risk and the second drives financial risk.
How do I calculate the degree of combined leverage?
Multiply DOL by DFL. Without preference dividend, it also equals Contribution ÷ EBT. For example, if DOL is 2 and DFL is 1.25, DCL is 2.5.
Is a higher degree of leverage always bad?
No. A higher degree magnifies gains when sales rise and losses when they fall. It is risky when sales are unstable or the firm may struggle to cover fixed charges.
Does interest affect operating leverage?
No. DOL is measured down to EBIT, before interest. Interest affects only financial and combined leverage.